242710956920640 has 896 divisors, whose sum is σ = 889468850350080. Its totient is φ = 55572546355200.

The previous prime is 242710956920633. The next prime is 242710956920801. The reversal of 242710956920640 is 46029659017242.

It is a super-2 number, since 2×242710956920640² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8259112027 + ... + 8259141413.

It is an arithmetic number, because the mean of its divisors is an integer number (992710770480).

Almost surely, 2^{242710956920640} is an apocalyptic number.

242710956920640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242710956920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444734425175040).

242710956920640 is an abundant number, since it is smaller than the sum of its proper divisors (646757893429440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242710956920640 is a wasteful number, since it uses less digits than its factorization.

242710956920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30071 (or 30061 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 242710956920640 in words is "two hundred forty-two trillion, seven hundred ten billion, nine hundred fifty-six million, nine hundred twenty thousand, six hundred forty".